Cod sursa(job #1669639)

Utilizator alex.vasiuVasiu Alexandru alex.vasiu Data 30 martie 2016 21:34:57
Problema Ciclu Eulerian Scor 10
Compilator cpp Status done
Runda Arhiva educationala Marime 1.78 kb
#include <fstream>
#include <vector>
#include <iostream>
#include <queue>
#include <algorithm>
#include <stack>
using namespace std;
ifstream f("ciclueuler.in");
ofstream g("ciclueuler.out");
vector <int> G[100005];
int n,m;
vector <bool> marcat;
vector <int> grade;
void bfs(int nod)
{
    queue <int> q;
    q.push(nod);
    marcat[nod]=1;
    while(!q.empty())
    {
        int u = q.front();
        q.pop();

        for(auto x : G[u])
            if(!marcat[x])
                q.push(x),marcat[x]=1;
    }
}
bool conex()
{
    bfs(1);
    for(int i=2; i<=n; i++)
        if(!marcat[i])
            return 0;
    return 1;
}
bool is_euler()
{
    if(!conex())
        return 0;
    for(int i=1; i<=n; i++)
        if(grade[i]%2)
            return 0;
    return 1;
}
void sterge(int x,int y)
{
    G[x].erase(G[x].begin());
    for(int i=0; i<G[y].size(); i++)
        if(G[y][i]==x)
        {
            G[y].erase(G[y].begin()+i);
           // break;
        }
}
vector <int>rez;
stack <int> s;
void euler(int nod)
{
    s.push(nod);
    while(!s.empty())
    {
        int u = s.top();
        if(G[u].size()==0)
        {
            rez.push_back(u);
            s.pop();
        }
        else
        {
            int y = G[u][0];
            sterge(u,y);
            s.push(y);
        }
    }
}
int main()
{
    int a,b;
    f>>n>>m;
    marcat.assign(n+1,false);
    grade.assign(n+1,0);
    for(int i=1; i<=m; i++)
    {
        f>>a>>b;
        G[a].push_back(b);
        G[b].push_back(a);
        grade[a]++;
        grade[b]++;
    }
    if(is_euler())
    {
        euler(1);
        for(int i=0; i<rez.size()-1; i++)
            g<<rez[i]<<" ";
    }
    else
        g<<"-1";
    g.close();
}